Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 958, 709, 17, 306 i.e. 1 largest integer that divides all the numbers equally.
GCD of 958, 709, 17, 306 is 1
GCD(958, 709, 17, 306) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 958, 709, 17, 306 is 1
GCD(958, 709, 17, 306) = 1
Given Input numbers are 958, 709, 17, 306
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Greatest Common Divisior
We found the divisors of 958, 709, 17, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 709, 17, 306 is 1.
Therefore, GCD of numbers 958, 709, 17, 306 is 1
Given Input Data is 958, 709, 17, 306
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 958 is 2 x 479
Prime Factorization of 709 is 709
Prime Factorization of 17 is 17
Prime Factorization of 306 is 2 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(958, 709) = 679222
GCD(958, 709) = ( 958 x 709 ) / 679222
GCD(958, 709) = 679222 / 679222
GCD(958, 709) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 306
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 306) = 306
GCD(1, 306) = ( 1 x 306 ) / 306
GCD(1, 306) = 306 / 306
GCD(1, 306) = 1
GCD of 958, 709, 17, 306 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 958, 709, 17, 306?
GCD of 958, 709, 17, 306 is 1
2. Where do I get the detailed procedure to find GCD of 958, 709, 17, 306?
You can find a detailed procedure to find GCD of 958, 709, 17, 306 on our page.
3. How to find GCD of 958, 709, 17, 306 on a calculator?
You can find the GCD of 958, 709, 17, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.